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Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions

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Abstract

In this paper, we propose a spectral method for the vorticity-stream function form of Navier–Stokes equations in an infinite channel with slip boundary conditions by using Laguerre functions. The numerical solutions fulfill the incompressibility and the physical boundary conditions automatically. The stability and the spectral accuracy in space of proposed method are proved. Numerical results demonstrate the high efficiency of suggested algorithm, and coincide the analysis very well.

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Authors and Affiliations

  1. University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China

    Xu-hong Yu

  2. Shanghai Normal University, Shanghai, 200234, People’s Republic of China

    Ben-yu Guo

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  1. Xu-hong Yu
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  2. Ben-yu Guo
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Correspondence to Xu-hong Yu.

Additional information

The work is supported in part by NSF of China Nos. 11601332 and 11571238, and the Hujiang Foundation of China (B14005).

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Yu, Xh., Guo, By. Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions. J Sci Comput 73, 283–302 (2017). https://doi.org/10.1007/s10915-017-0413-z

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  • DOI: https://doi.org/10.1007/s10915-017-0413-z

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